Math Problem Statement
Solve each equation from the image provided.
Solution
I can see the math problems in the image you uploaded. Let's solve them one by one:
1. 4n−2n=4
2n=4⟹n=24=2
Solution: n=2
2. −12=2+5v+2v
−12=2+7v⟹−12−2=7v⟹−14=7v⟹v=7−14=−2
Solution: v=−2
3. 3=x+3−5x
3=−4x+3⟹3−3=−4x⟹0=−4x⟹x=0
Solution: x=0
4. x+3−3=−6
x=−6
Solution: x=−6
5. −12=3−2k−3k
−12=3−5k⟹−12−3=−5k⟹−15=−5k⟹k=−5−15=3
Solution: k=3
6. −1=−3r+2r
−1=−r⟹r=1
Solution: r=1
7. 6=−3(x+2)
6=−3x−6⟹6+6=−3x⟹12=−3x⟹x=−312=−4
Solution: x=−4
8. −3(4r−8)=−36
−12r+24=−36⟹−12r=−36−24⟹−12r=−60⟹r=−12−60=5
Solution: r=5
9. 24=6(−x−3)
24=−6x−18⟹24+18=−6x⟹42=−6x⟹x=−642=−7
Solution: x=−7
10. 75=3(6n−5)
75=18n−15⟹75+15=18n⟹90=18n⟹n=1890=5
Solution: n=5
Feel free to ask for further explanations or details on any of these steps. Would you like a detailed breakdown of any solution?
Here are 5 relative questions:
- What is the process for solving linear equations?
- Can you explain how to solve equations with variables on both sides?
- How do you handle equations with negative coefficients?
- What is the importance of checking your solution by substituting back into the equation?
- How can solving multi-step equations help in real-life situations?
Tip: Always combine like terms first to simplify equations before solving for the variable.